Quantitative Aptitude प्रश्न और उत्तर का अभ्यास करें

प्र: Twelve children take sixteen days to complete a work which can be completed by 8 adults in 12 days. After working for 3 days, sixteen adults left and six adults and four children joined them. How many days will they take to complete the remaining work ? 2048 0

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    3 days
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  • 2
    2 days
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  • 3
    6 days
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  • 4
    12 days
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उत्तर : 3. "6 days"
व्याख्या :

Answer: C) 6 days Explanation: From the given data, 12 children 16 days work,One child’s one day work = 1/192. 8 adults 12 days work,One adult’s one day’s work = 1/96. Work done in 3 days = ((1/96) x 16 x 3) = 1/2 Remaining work = 1 – 1/2 = 1/2 (6 adults+ 4 children)’s 1 day’s work = 6/96 + 4/192 = 1/12 1/12 work is done by them in 1 day. 1/2 work is done by them in 12 x (1/2) = 6 days.

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उत्तर : 1. "4/3 days"
व्याख्या :

Answer: A) 4/3 days Explanation: Let the total number of documents to be printed be 12.  The number of documents printed by P in 1 day = 4.  The number of documents printed by Q in 1 day = 3.  The number of documents printed by R in 1 day = 2.  Thus, the total number of documents that can be printed by all the machines working simultaneously in a single day = 9.   Therefore, the number of days taken to complete the whole work = 12/9 = 4/3 days.

प्र: A polygon has 44 diagonals, then the number of its sides are ? 1801 0

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    13
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  • 2
    9
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  • 3
    11
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  • 4
    7
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उत्तर : 3. "11"
व्याख्या :

Answer: C) 11 Explanation: Let the number of sides be n.  The number of diagonals is given by nC2 - n   Therefore, nC2 - n = 44, n>0  nC2 - n = 44 n2 - 3n - 88 = 0  n2 -11n + 8n - 88 = 0   n(n - 11) + 8(n - 11) = 0  n = -8 or n = 11.   As n>0, n will not be -8. Therefore, n=11.

प्र: How many parallelograms will be formed if 7 parallel horizontal lines intersect 6 parallel vertical lines? 3341 0

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    215
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  • 2
    315
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  • 3
    415
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  • 4
    115
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उत्तर : 2. "315"
व्याख्या :

Answer: B) 315 Explanation: Parallelograms are formed when any two pairs of parallel lines (where each pair is not parallel to the other pair) intersect.   Hence, the given problem can be considered as selecting pairs of lines from the given 2 sets of parallel lines.   Therefore, the total number of parallelograms formed = 7C2 x 6C2 = 315

प्र: There are three rooms in a Hotel: one single, one double and one for four persons. How many ways are there to house seven persons in these rooms ? 4621 0

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    105
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  • 2
    7! x 6!
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  • 3
    7!/5!
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  • 4
    420
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उत्तर : 1. "105"
व्याख्या :

Answer: A) 105 Explanation: Choose 1 person for the single room & from the remaining choose 2 for the double room & from the remaining choose 4 people for the four person room,   Then, 7C1 x 6C2 x 4C4  = 7 x 15 x 1 = 105

प्र: "I am five times as old as you were, when I was as old as you are", said a man to his son. Find out their present ages, if the sum of their ages is 64 years ? 12187 0

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    Father = 50; Son =14
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  • 2
    Father = 40; Son =24
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  • 3
    Father = 60; Son =4
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  • 4
    Father = 48; Son =16
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उत्तर : 2. "Father = 40; Son =24"
व्याख्या :

Answer: B) Father = 40; Son =24 Explanation: Let the present age of the man be 'P' and son be 'Q',Given, P + Q = 64 or Q = (64 - P)Now the man says "I am five times as old as you were, when I was as old as you are",So, P = 5[B - (P - Q)]We get 6P = 10Q,Substitute value for Q,6P = 10(64 - P),Therefore P = 40, Q = 24.

प्र: Find the sum to 200 terms of the series 2 + 5 + 7 + 6 + 12 + 7 + .... 1723 0

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    30,400
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  • 2
    30,200
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  • 3
    34,600
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  • 4
    38,400
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उत्तर : 1. "30,400"
व्याख्या :

Answer: A) 30,400 Explanation: we can treat every two consecutive terms as one.So, we will have a total of 100 terms of the nature:(2 + 5) + (7 + 6) + (12 + 7).... => 7, 13, 19,....   We know the sum of n terms  nn+12   Now, a= 7, d=6 and n=100Hence the sum of the given series is S= 100/2 x[2 x 7 + 99 x 6]=> 50[608]=> 30,400.

प्र: What least number must be substracted from 627349 so that the remaining number is divisible by 15 ? 1749 0

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    1
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  • 2
    2
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  • 3
    3
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  • 4
    4
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उत्तर : 4. "4"
व्याख्या :

Answer: D) 4 Explanation: On dividing 627349 by 15, we get remainder = 4.Therefore, the obtained remainder is the least number to be subtracted from the given number so that the the mnumber is divisible by 15.Here 4 is the least number to be subtracted from 627349 so that it is divisible by 15.

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